Probability and Two-Way Tables — Cumulative exam Answers

Ariana, Boris, Cecile, and Diego are students in the service club. Three of the four students will be chosen to attend a conference.Which choice represents the sample space, S, for this event?

Which function has real zeros at x = −10 and x = −6?

What is the difference of the two polynomials?(7y2 + 6xy) – (–2xy + 3)

Over which interval are the exponential and linear function approximately the same?

Mariya is solving the quadratic equation by completing the square.4x2-20x+3=04x2-20x=-3A(x2-5x)=-3

On a coordinate plane, a parabola opens up. It goes through (negative 3.25, 5), has a vertex of (1.7, negative 2.75), and goes through (6.25, 5). Solid circles appear on the parabola at (negative 3, 4), (0, negative 2), (1.5, negative 2.75), (3, negative 2), (6, 4).

Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2x2 – 16) feet and (–x2 + 4x + 1) feet. Which expression represents the total perimeter of the table, and if x = 3, what is the length of the entire rubber bumper?

Between which two ordered pairs does the graph of f(x) = x2 + x – 9 cross the negative x-axis?Quadratic formula: x =

Which times and distances are represented by the function? Select three options.

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold.

The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping. 24x3 − 54x2 + 44x − 9924x3 + 44x − 54x2 − 994x(____) − 9(____)What is the common factor that is missing from both sets of parentheses?

Fiona is completing the square to solve the polynomial equation.x2 – 4x + 1 = 0

Which is true about the completely simplified difference of the polynomials 6x6 − x3y4 − 5xy5 and 4x5y + 2x3y4 + 5xy5?

Solve x2 – 8x = 20 by completing the square. Which is the solution set of the equation?

The steps in writing f(x)=18x+3x2 in vertex form are shown, but a value is missing in the last step.Write the function in standard form. Factor a out of the first two terms. f(x)=3(x2+6x)Form a perfect square trinomial. f(x)=3(x2+6x+9)−3(9) Write the trinomial as a binomial squared. f(x)=3(x+___)2−27

Which is true about the polynomial y2 – 3y + 12?

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 9x2 – 36x?

Which statement is true about the polynomial –3x4y3 + 8xy5 – 3 + 18x3y4 – 3xy5 after it has been fully simplified?

Which statement is true about ?

What are the solutions to the quadratic equation 4(x + 2)2 = 36